Abstract
This research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed point method.
Highlights
Introduction and preliminaries A mapping fU → V is called additive if f satisfies the Cauchy functional equation f (x + y) = f (x) + f (y) (1.1)for all x, y ∈ U
It is easy to see that the function f (x) = ax is a solution of functional equation (1.1) and every solution of functional equation (1.1) is said to be an additive mapping
It is easy to see that the quadratic function f (x) = ax2 is a solution of functional equation (1.2), and every solution of functional equation (1.2) is said to be a quadratic mapping
Summary
Introduction and preliminaries A mapping f : U → V is called additive if f satisfies the Cauchy functional equation f (x + y) = f (x) + f (y) for all x, y ∈ U. Definition 1.3 Let (V , μ, ∗) be a fuzzy modular space. Kumam [34, 35] and Wongkum et al [36] introduced the fixed point concept in fuzzy modular spaces and obtained some properties.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
